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Finding the Fourth Proportional to 11,482.94, 15,846.16 and 6,447.10

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Solution

The fourth proportional to 11,482.94, 15,846.16 and 6,447.10 is: 8,896.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,482.94 : 15,846.16 = 6,447.10 : x
  2. Step 2: Convert to fraction form
    11,482.94/15,846.16 = 6,447.10/x
  3. Step 3: Cross multiply
    11,482.94x = 15,846.16 × 6,447.10
  4. Step 4: Simplify right side
    11,482.94x = 102,161,778.14
  5. Step 5: Solve for x
    x = 102,161,778.14/11,482.94
  6. Step 6: Final answer
    x = 8,896.83

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.